Jul 05, 2022  
2020-2021 Undergraduate Academic Catalog 
    
2020-2021 Undergraduate Academic Catalog [ARCHIVED CATALOG]

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MA 120 - Precalculus Mathematics

4 lecture hours 0 lab hours 4 credits
Course Description
This course provides a review of the aspects of algebra, trigonometry, and analytic geometry that are necessary for success in calculus for the benefit of students with slight deficiencies in any of these areas. It is not intended as a substitute for a rigorous course in any of these topics. (prereq: MA 125  or equivalent)
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
  • Be proficient with exponential expressions including the laws of exponents and negative and rational exponents
  • Factor simple polynomial expressions
  • Simplify rational expressions including products, sums, and complex rational expressions
  • Solve rational equations including consideration of the domain by means of linear approach and quadratic approach (solving by factoring and/or quadratric formula)
  • Be able simplify radical expressions including rationalizing the numerator or denominator
  • Solve radical equations (optional)
  • Understand the concept of a function, its range and domain, and its graph
  • Be proficient with linear functions and models including recognizing that the slope represents rate of change
  • Know the graphs of common equations
  • Transform the graphs of functions graphically and algebraically
  • Understand piecewise-defined functions
  • Use operations of functions including composition of functions on calculus concepts such as difference quotients
  • Understand exponential functions, their domain and range, and graphs
  • Understand logarithmic functions, their domain and range, and graphs
  • Be proficient with the properties of logarithms including solving exponential equations
  • Understand the measure of an angle including radians and degrees
  • Understand the definition of the six trigonometric functions including their relation to the geometry of the unit circle and right triangles
  • Evaluate the trigonometric functions both approximately, by using the calculator, and exactly, by using reference angles of common angles
  • Apply trigonometric properties to applications
  • Know the graphs of the three of sine, cosine and tangent. Recognize the remaining three trigonometric graphs
  • Be proficient with basic trigonometric identities including reciprocal identities, ratio identities and Pythagorean identities
  • Be familiar with other trigonometric identities (double angle and reduction or half-angle identities)
  • Understand the definition of the inverse trigonometric functions and be able to evaluate to find common angles
  • Solve basic trigonometric equations

Prerequisites by Topic

Course Topics
  • Inequalities and absolute value
  • Factoring and completing the square
  • General functions
  • Rational functions
  • Trigonometric functions
  • Exponential and log functions
  • Complex numbers
  • Systems of equations

Coordinator
Dr. Anthony van Groningen



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